Answer:
Protonated form: 96.87%
Unprotonated form: 3.13%
Explanation:
To find the percentage of protoned and unprotoned forms of salicylic acid we must use Henderson-Hasselbalch equation:
pH = pKa + log [A⁻] / [HA]
Where pKa of salicylic acid is 3.49; [A⁻] is the unprotonated form and [HA]:
2.0 = 3.49 + log [A⁻] / [HA]
0.03236 = [A⁻] / [HA] (1)
And as:
[A⁻] + [HA] = 100% (2)
Replacing (2) in (1):
0.03236 = 100 - [HA] / [HA]
0.03236 [HA] = 100 - [HA]
1.03236[HA] = 100
And [A⁻]:
[A⁻] = 100 - 96.87